X1192

2nd SARAGOSSA POINT OF X64

X1192 = circle-{X371,X372,PU(1),PU(39)}-inverse of X38292
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 3, 6 }: Brocard Axis { 25, 64 }: Central Line L(25, 64) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_3 = CIRCUMCENTER (0.5000, 0.1021) X_6 = SYMMEDIAN POINT (LEMOINE POINT, GREBE POINT) (0.6000, 0.2672) X_25 = HOMOTHETIC CENTER OF ORTHIC AND TANGENTIAL TRIANGLES (0.6329, 0.4497) X_64 = ISOGONAL CONJUGATE OF X(20) (0.5579, 1.5943) X_1192 = 2nd SARAGOSSA POINT OF X(64) (0.6404, 0.3340) A B C X3 X6 X25 X64 X1192 (a, b, c) = (5, 6, 7) | AB = 1

X1192 (2nd SARAGOSSA POINT OF X64) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(f(a,b,c) : f(b,c,a) : f(c,a,b)\) (see note above X1166)
Search Value (6, 9, 13): \(4.946711303778\)
▸ Incident Central Lines2 lines

{3, 6}, {25, 64}

▸ Functional Relations2 relations